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<p>The amazing thing about using Laplace Transforms is that we can convert a whole ODE initial value problem into a Laplace transformed version as functions of <span class="process-math">\(s,\)</span> simplify the algebra, find the transformed solution <span class="process-math">\(F(s),\)</span> then undo the transform to get back to the required solution <span class="process-math">\(f\)</span> as a function of <span class="process-math">\(t.\)</span></p>
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